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A soap bubble has radius R and surface t...

A soap bubble has radius `R` and surface tension `S`, How much energy is required to double the radius with out change of temperature .

Text Solution

Verified by Experts

The correct Answer is:
`24piR^(2)S`
On doubling the radius,
`DeltaA = 4pi (2R)^(2) - 4 piR^(2) = 12piR^(2)`
but `DeltaW = (2 xx DeltaA) xx S = 24 piR^(2)S`.
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